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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Arithmetic Study Group: The algebraisation of higher Deligne--Lusztig theory

Presented by Zhe Chen, Durham University

9 February 2016 14:00 in CM 107

The higher Deligne--Lusztig theory is the geometric approach to representations
of reductive groups over a finite ring. For a general reductive group, while in the classical
level 1 case the geometric method is the unique method to produce almost all irreducible
representations, in higher levels there is also an algebraic approach due to Gerardin. As the
two constructions share a same set of parameters, a natural question, raised by Lusztig, is
whether they are generically equivalent. Recently we made progress on this question (joint
with Stasinski); if time permits, I will also discuss an application to Lie algebras.

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